Question

Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high, approximately how far is the bottom of the ladder from the wall?
- 2 m

- 5 m

- 3 m

- 4 m

Answer 1

Answer:

(A) 2 meter

Step-by-step explanation:

It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.

Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have

$\frac{CB}{AB}=tan72^{\circ}$

$\frac{6}{x}=tan72^{\circ}$

$\frac{6}{x}=3.077$

$x=\frac{6}{3.077}$

$x=1.94$

$x$≈$2m$

Thus, option A is correct.

Answer 2

Then u need to use tanФ=perpendicular/base
tan72°=6/x
3.077=6/x
x=1.949
x=2 m approx